Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/85982
Type: Artigo de periódico
Title: On Ill-posedness For The Generalized Bbm Equation
Author: Carvajal X.
Panthee M.
Abstract: We consider the Cauchy problem associated to the generalized Benjamin-Bona-Mahony (BBM) equation for given data in the L2-based Sobolev spaces. Depending on the order of nonlinearity and dispersion, we prove that the Cauchy problem is ill-posed for data with lower order Sobolev regularity. We also prove that, in certain range of the Sobolev regularity, even if the solution exists globally in time, it fails to be smooth.
Editor: Southwest Missouri State University
Rights: fechado
Identifier DOI: 10.3934/dcds.2014.34.4565
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84901812681&partnerID=40&md5=0efb4c67f83ec170fa460e10539f825c
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.